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Finding the Third Proportional to 232,842.75 and 509,273.25

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Solution

The third proportional to 232,842.75 and 509,273.25 is: 1,113,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,842.75 : 509,273.25 = 509,273.25 : x
  2. Step 2: Convert to fraction form
    232,842.75/509,273.25 = 509,273.25/x
  3. Step 3: Cross multiply
    232,842.75x = 509,273.25 × 509,273.25
  4. Step 4: Simplify right side
    232,842.75x = 259,359,243,165.56
  5. Step 5: Solve for x
    x = 259,359,243,165.56/232,842.75
  6. Step 6: Final answer
    x = 1,113,881.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.